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3 years ago

How do you write 10 less than half a number as 27 as an equation

Mathematics

2 answers:

saul85 [17]3 years ago

5 0

27/2 - 10 = x

So 27 divided by 2, subtract 10 and you have x
Hope this helps :)

OLga [1]3 years ago

4 0

Let

x--------> the number

we know that

The expression is equal to

$\frac{x}{2} -10=27\\ \\\frac{x}{2}=27+10\\ \\\frac{x}{2}=37\\ \\x=74$

therefore

<u>the answer is</u>

$\frac{x}{2} -10=27$

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Without graphing classify each system as independent dependent or inconsistent -x -y=7<br> 5x-5y=5

jek_recluse [69]

Answer:

Is a consistent independent system

Step-by-step explanation:

we have

$-x-y=7$ -----> isolate the variable y

$y=-x-7$ ----> equation A

$5x-5y=5$ -----> isolate the variable y

$y=x-5$ ---> equation B

Compare equation A and equation B

We can affirm that

The slopes are not equal ( so the lines are not parallel)

The lines are different

The product of their slopes is equal to -1 (the lines are perpendicular)

The system of equations has only one solution

therefore

Is a consistent independent system

5 0

3 years ago

In ARST, m R = 92° and mZS = 71°. Which list has the sides of ARST in order from

OLga [1]

Answer:which grade are you

Step-by-step explanation:

If you are grade 7 to 9 I know

7 0

3 years ago

What is the equation of the quadratic graph with a focus of (1, 1) and a directrix of y = −1? PLs HELP!!

Delicious77 [7]

ANSWER
$f(x)= \frac{1}{4} {(x - 1)}^{2}$

EXPLANATION

Since the directrix is
$y = - 1$

the axis of symmetry of the parabola is parallel to the y-axis.

Again, the focus being,

$(1,1)$

also means that the parabola will open upwards.

The equation of parabola with such properties is given by,

${(x - h)}^{2} = 4p(y - k)$
where
$(h,k)$

is the vertex of the parabola.

The directrix and the axis of symmetry of the parabola will intersect at
$(1, - 1)$

The vertex is the midpoint of the focus and the point of intersection of the axis of the parabola and the directrix.

This implies that,
$h = \frac{1 + 1}{2} = 1$

and
$k = \frac{ - 1 + 1}{2} = 0$

The equation of the parabola now becomes,

$(x - 1) ^{2} = 4p(y - 0)$

$|p| = 1$

Thus, the distance between the vertex and the directrix.

This means that,

$p = - 1 \: or \: 1$

Since the parabola opens up, we choose
$p = 1$
Our equation now becomes,

${(x - 1)}^{2} = 4(1)(y - 0)$

This simplifies to
${(x - 1)}^{2} = 4y$

or

$y = \frac{1}{4} {(x - 1)}^{2}$

This is the same as,

$f(x)= \frac{1}{4} {(x - 1)}^{2}$

The correct answer is D .

4 0

4 years ago

The price of an item has been reduced by 40%. The original price was $80. What is the price of the item now?

balu736 [363]

Answer:

$48

Step-by-step explanation:

80 x 0.4 = 32

80 - 32 = 48

Hoped it Helped :-)

3 0

3 years ago

If f(x)=x^2-3 and

Kipish [7]

Since it is f of g you have to start by plugging in g(x) into f(x)

(4-3x)^2-3

Then just solve the equation

(4-3x)^2-3
(4-3x)(4-3x)-3 Square the binomial
8-12x-12x+9x^2-3 Combine like terms
5-24x+9x^2 Final answer

4 0

3 years ago